# SOLUTION: please help me solve this equatition -2m=-16m-9

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 Click here to see ALL problems on Expressions-with-variables Question 18419: please help me solve this equatition -2m=-16m-9Found 2 solutions by Alwayscheerful, mmm4444bot:Answer by Alwayscheerful(414)   (Show Source): You can put this solution on YOUR website!You first want all the m's on one side, then you can solve. So, I would move the -16m to the left side REMEMBER when moving numbers and variables, always use the opposite of the number. Then add the like terms together. Divide both sides by 14 to get m by itself Hope this helps! Answer by mmm4444bot(95)   (Show Source): You can put this solution on YOUR website!Hello There: Solving the equation means isolating the variable m on one side of the equals sign. We do this by adding the terms that contain m together, moving everything else to the other side, and dividing by any number that's multiplied by m. -2m = -16m - 9 There are three terms; two of them contain the variable m (-2m and -16m), and the other is a constant (-9). Let's combine the terms containing m by adding 16m to both sides. Doing this gets rid of the -16m on the right side, and it allows us to combine the two terms with m together on the left side. -2m + 16m = -16m + 16m - 9 14m = -9 Next, we solve for m by dividing both sides by 14. This causes m to be all by itself on the left side. 14m/14 = -9/14 m = -9/14 Let's check this result to be sure that it's right. To check our answer, we substitute -9/14 for m in the original equation, and then simplify both sides to see if we end up with a true statement. -2m = -16m - 9 -2(-9/14) = -16(-9/14) - 9 18/14 = 144/14 - 9 9/7 = 72/7 - 9 9/7 = 9/7 Our answer checks out. m = -9/14 ~ Mark